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12952744924 = 22717193277509
BaseRepresentation
bin11000001000000101…
…10011001111011100
31020102200212121200111
430010002303033130
5203011400314144
65541142135404
7635660341510
oct140402631734
936380777614
1012952744924
115547539a79
122615a21564
1312b5667b12
148ac388140
1550c21a534
hex3040b33dc

12952744924 has 96 divisors (see below), whose sum is σ = 27725362560. Its totient is φ = 5168627712.

The previous prime is 12952744897. The next prime is 12952744943. The reversal of 12952744924 is 42944725921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25447182 + ... + 25447690.

It is an arithmetic number, because the mean of its divisors is an integer number (288805860).

Almost surely, 212952744924 is an apocalyptic number.

12952744924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12952744924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862681280).

12952744924 is an abundant number, since it is smaller than the sum of its proper divisors (14772617636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12952744924 is a wasteful number, since it uses less digits than its factorization.

12952744924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The spelling of 12952744924 in words is "twelve billion, nine hundred fifty-two million, seven hundred forty-four thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 193 238 277 386 476 509 554 772 1018 1108 1351 1939 2036 2702 3281 3563 3878 4709 5404 6562 7126 7756 8653 9418 13124 14252 17306 18836 22967 32963 34612 45934 53461 60571 65926 91868 98237 106922 121142 131852 140993 196474 213844 242284 281986 374227 392948 563972 687659 748454 908837 986951 1375318 1496908 1670029 1817674 1973902 2396881 2750636 3340058 3635348 3947804 4793762 6361859 6680116 9587524 11690203 12723718 16778167 23380406 25447436 27211649 33556334 46760812 54423298 67112668 108846596 190481543 380963086 462598033 761926172 925196066 1850392132 3238186231 6476372462 12952744924